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Well-Posed and Ill-Posed Optimal Control Problems

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  • S. Walczak

Abstract

In this paper, an optimal control problem with variable parameters and variable initial data is considered for some systems of ordinary differential equations. On the basis of variational methods, some sufficient conditions, under which the optimal processes depend continuously on the initial data and parameters of the system, are proved.

Suggested Citation

  • S. Walczak, 2001. "Well-Posed and Ill-Posed Optimal Control Problems," Journal of Optimization Theory and Applications, Springer, vol. 109(1), pages 169-185, April.
    • Handle: RePEc:spr:joptap:v:109:y:2001:i:1:d:10.1023_a:1017518006179
    DOI: 10.1023/A:1017518006179
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    Cited by:

    1. M. Majewski, 2009. "Stability Analysis of an Optimal Control Problem for a Hyperbolic Equation," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 127-146, April.
    2. Vladimir Ternovski & Victor Ilyutko, 2024. "Control the Coefficient of a Differential Equation as an Inverse Problem in Time," Mathematics, MDPI, vol. 12(2), pages 1-16, January.

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